School of Business Eastern Illinois University Fundamentals of Data & Signals (Week 5, Tuesday 2/6/2007) © Abdou Illia, Spring 2007 Learning Objectives Distinguish between Data and Signals Understand transmission speed Distinguish between Bit Rate and Baud Rate 2 Data and Signals Ingredients of Computer Networks – – – – – Computers Transmission media Hubs/Switches Routers, bridges Etc. Other ingredients – – Data Signals 3 Data 4 Data = Entities that convey meaning within a computer system Examples of data (captured and stored on storage devices) – – – Files on a hard drive Movie on a DVD Music on a CD For transmission, Data (static entities) need to be converted into signals (dynamic entities) Signals Signal = Electric or electromagnetic encoding of data for transmission – – Using a physical transmission medium Using airwaves Examples of signals (situations) – – – Telephone conversation over a telephone line Live television news interview from Europe Web page download over your telephone line via the Internet 5 Data and Signals Both Data (sources of data) and Signals can be – – Four combinations – – – – either analog or digital Transmitting digital data using digital signals Transmitting digital data using analog signals Transmitting analog data using analog signals Transmitting analog data using digital signals Need Translation devices 6 7 Translation Devices Source of Data versus Line Translator Transmission Line Source of Data Analog Line Digital Line Analog Device (e.g. Tel) Digital Device (e.g. Computer) Codec Modem DSU DSU (Data Service Unit) 8 DSU translates between different digital formats – Device and line are both digital, but still might need translator because Different bit rates Different number of possible states Different voltage levels for the states Different ways to represent ones and zeros Analog signals Represented as continuous waveforms In analog transmission, the state of the signal (voltage level, etc.) varies continuously and smoothly among an infinite number of states – States could be signal strength, voltage level, or other measurable conditions 9 10 Digital signals Represented as discrete (non-continuous) waveform In digital transmission, time is divided into periods of fixed length called clock cycles The state of the signal (voltage level, etc.) remain constant during each clock cycle. – – Typically, there are between two and 64 possible states. Here, only two states are shown Voltage Time Clock Cycle 11 Digital Signals At the end of each clock cycle, the state may change abruptly to another of the few possible states – Can also stay the same Abrupt Change Stays Same Voltage Clock Cycle Time Digital Versus Binary Transmission Digital transmission: a few states Binary transmission: exactly two states (1 and 0) – Binary is a special case of digital Few States Two States 1 0 Digital Binary 12 13 States and Bits 2Bits per clock cycle=Number of states – – – – For 1 bit per clock cycle, 2 states are required (One for 1, one for 0) 21=2 Binary 1 States 0 1 0 0 Clock Cycle 0 14 States and Bits 2Bits/clock cycle=States – – – For 2 bits per clock cycle, 4 states are required (22=4) For 3 bits per clock cycle, 8 states are needed (23=8) For 4 bits per clock cycle, 16 states are needed (24=16) 3 (11) 2 (10) States 1 (01) 10 11 01 00 0 (00) Clock Cycle 15 States and Bits 2Bits per clock cycle=States – – – With 4 states, send two bits per clock cycle (22=4) With 8 states, send 3 bits per clock cycle (23=8) With 16 states, send 4 bits per clock cycle (24=16) 3 (11) 2 (10) States 1 (01) 10 11 01 00 0 (00) Clock Cycle 16 Bits and Baud Baud Rate = Number of clock cycles/sec – – Bit Rate = Number of bits/second – In this example, 4 baud (not 4 bauds/second) Note: Number of clock cycles, not actual line changes In this example, 8 bits/second Bit Rate = Baud Rate * Bits per clock cycle 10 Possible Change Not Made 01 01 00 1 Second Equations # of states – Bit rate – 2Bits per clock cycle = Number of possible states (Eq. 1) Bit rate = Baud Rate * Bits per clock cycle (Eq. 2) Exercise (See next slide) 17 Exercise 18 A) If a transmission line has a Baud rate of 10 000 baud, and if there are eight possible line states, what is the Bit rate? B) If you wish to send two bits per clock cycle, how many possible states must you have? 19 Summary Questions 1. Distinguish between digital and analog signals 9-10 2. Distinguish between digital and binary transmission 12 3. What is the difference between the bit rate and the baud rate? 16
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